The common difference of AP 13q. 1-6q3q, 1-12q3q, 

Subject

Mathematics

Class

CBSE Class 10

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 Multiple Choice QuestionsMultiple Choice Questions

1.

The angle of depression of a car, standing on the ground, from the top of a 75 m high tower, is 30o. The distance of the car from the base of the tower (in m.) is

  • 25√3

  • 50√3

  • 75√3

  • 150


2.

The probability of getting an even number, when a die is thrown once, is

  • 12

  • 13

  • 16

  • 56


3.

A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime-number less than 23,is

  • 790

  • 1090

  • 445

  • 989


4.

If the difference between the circumference and the radius of a circle is 37cm, then using π = 227 , the circumference (in cm) of the circle is:

  • 154

  • 44

  • 14

  • 7


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5.

The common difference of AP 13q. 1-6q3q, 1-12q3q, ........ is;1 1 6q 1 12q, , 3q 3q 3q
... is:

  • q

  • -q

  • -2

  • 2


C.

-2

 Comman difference = 1 - 6q3q - 13q = 1-6q-13q = -6q3q = -2


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6.

In fig., a circle with centre O is inscribed in a quadrilateral ABCD such that, it touches the sides BC, AB, AD and CD at points P, Q, R and S respectively, If AB = 29 cm, AD = 23 cm, B = 90o and DS = 5 cm, then the radius of thecircle (in cm) is 

  • 11

  • 18

  • 6

  • 15


7.

In fig., PA and PB are two tangents drawn from an external point P to a circlewith centre C and radius 4 cm. If PA PB, then the length of each tangent is

  • 3

  • 4

  • 5

  • 6


8.

In fig., the area of triangle ABC (in sq. units) is

  • 15

  • 10

  • 7.5

  • 2.5


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 Multiple Choice QuestionsShort Answer Type

9.

How many three-digit natural numbers are divisible by 7?


10.

Solve the following quadratic equation for x;43x2 + 5x - 23 = 0 


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